2026 HGV P1 Q4

The area of a rectangle plot of land is \((5\sqrt2+\sqrt{14})\) m² and its breadth is \((3\sqrt2-\sqrt{14})\) m. Find the length of the plot of land in the form \(a+b\sqrt7\) m, where \(a\) and \(b\) are integers to be found.[4]